\section{RATTLE of CH}
\begin{equation}
A_{CH}=
\left[\begin{matrix}r_{01}^{2} \left(\frac{1}{m_{1}} + \frac{1}{m_{0}}\right)\end{matrix}\right]
\end{equation}
\begin{equation}
c_{CH}=
\left[\begin{matrix}- r_{01} v^{p}_{01}\end{matrix}\right]
\end{equation}
\section{RATTLE of CH2}
\begin{equation}
A_{CH2}=
\left[\begin{matrix}r_{01}^{2} \left(\frac{1}{m_{1}} + \frac{1}{m_{0}}\right) & \frac{r_{01} r_{02}}{m_{0}}\\\frac{r_{01} r_{02}}{m_{0}} & r_{02}^{2} \left(\frac{1}{m_{2}} + \frac{1}{m_{0}}\right)\end{matrix}\right]
\end{equation}
\begin{equation}
c_{CH2}=
\left[\begin{matrix}- r_{01} v^{p}_{01}\\- r_{02} v^{p}_{02}\end{matrix}\right]
\end{equation}
\section{RATTLE of OH2}
\begin{equation}
A_{OH2}=
\left[\begin{matrix}r_{01}^{2} \left(\frac{1}{m_{1}} + \frac{1}{m_{0}}\right) & \frac{r_{01} r_{02}}{m_{0}} & - \frac{r_{01} r_{12}}{m_{1}}\\\frac{r_{01} r_{02}}{m_{0}} & r_{02}^{2} \left(\frac{1}{m_{2}} + \frac{1}{m_{0}}\right) & \frac{r_{02} r_{12}}{m_{2}}\\- \frac{r_{01} r_{12}}{m_{1}} & \frac{r_{02} r_{12}}{m_{2}} & r_{12}^{2} \left(\frac{1}{m_{2}} + \frac{1}{m_{1}}\right)\end{matrix}\right]
\end{equation}
\begin{equation}
c_{OH2}=
\left[\begin{matrix}- r_{01} v^{p}_{01}\\- r_{02} v^{p}_{02}\\- r_{12} v^{p}_{12}\end{matrix}\right]
\end{equation}
\section{RATTLE of CH3}
\begin{equation}
A_{CH3}=
\left[\begin{matrix}r_{01}^{2} \left(\frac{1}{m_{1}} + \frac{1}{m_{0}}\right) & \frac{r_{01} r_{02}}{m_{0}} & \frac{r_{01} r_{03}}{m_{0}}\\\frac{r_{01} r_{02}}{m_{0}} & r_{02}^{2} \left(\frac{1}{m_{2}} + \frac{1}{m_{0}}\right) & \frac{r_{02} r_{03}}{m_{0}}\\\frac{r_{01} r_{03}}{m_{0}} & \frac{r_{02} r_{03}}{m_{0}} & r_{03}^{2} \left(\frac{1}{m_{3}} + \frac{1}{m_{0}}\right)\end{matrix}\right]
\end{equation}
\begin{equation}
c_{CH3}=
\left[\begin{matrix}- r_{01} v^{p}_{01}\\- r_{02} v^{p}_{02}\\- r_{03} v^{p}_{03}\end{matrix}\right]
\end{equation}
